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 \entry Two ways to refer formula or equation: 
  \eg \textbf{Theorem 5.1} or \textbf{(5.1)}

Note that the second way is not recommended to use in paragraphs which are organized in lists or items like \newline
\textcolor{red}{
(1) Section 1 is ...\newline
(2) Section 2 ...\newline
(3) ...\newline
}
because it may cause ambiguity.
\ownby nuo
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\entry Make sure not confuse with {\tt max} ({\tt min}) and {\tt argmax} ({\tt argmin})
\ownby nuo
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 \entry Deal with equations or formulas in context correctly. 
  \remark The rule of thumb is that just treating the equations or formulas as a part of context.
 \donot The equation \underline{is:} 
 $$E = mc^2.$$
 \doit The equation \underline{is}
$$E = mc^2.$$
 \remark After a equation, if the sentence is over, use {\tt full stop}; if not, use {\tt comma} if the following word is {\tt which}, no punctuation is need if the following word is {\tt where}.
 \donot The equation is
$$E = mc^2$$
where {\em c} stands for the speed of light.
 \doit The equation is
$$E = mc^2,$$
which is raised by Einstein.
 \ownby nuo
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\entry Avoid introducing redundent notations.
\ownby arik
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\entry Use math symbols when you describe any theorem/equations.
\ownby prabhu
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\entry When you read the proofs you can keep those ideas in
your mind so that later you can use it for your work.
\ownby prabhu
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\entry When a new symbol shows up and contains several variables inside, you need to tell the reader it is a vector or a set.\\
e.g. $X_{1:i}$ is a set which contains n points.
\ownby nuo
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\entry Check these 3 symbols $=$, $\equiv$, $\triangleq$ and make sure use them correctly.\\
$=$ means equal in value. e.g. $x = 3$\\
$\equiv$ means two relations are equivalent.\\
$\triangleq$ which also written as $:=$ means define a symbol. e.g. $x := y^3$ or $x \triangleq y^3$, means you can substitute $y^3$ with $x$.
\ownby nuo
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\entry When the proof of a theorem is too long, you can introduce some lemmas to shorten the proof.
\ownby jiangbo
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\entry You should be very careful with $\leq$ ($\geq$) and $<$ ($>$). Always keep in mind that whether $=$ is needed.
\ownby jiangbo
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\entry Check all the formulas which contain conditional mutual information, make them correctly written.
\doit $\mathcal{MI}(\mathcal{X}_2; \mathcal{U} | \mathcal{X}_1)$
\donot $\mathcal{MI}(\mathcal{X}_2 | \mathcal{X}_1; \mathcal{U})$
\ownby jiangbo
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\entry use $\sum$, $\prod$ such symbols to shorten your proof.
\ownby nuo
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\entry {\tt THIS IS VERY IMPORTANT}
\remark When a new symbol or notation appears, you must explain what it means!
\ownby jiangbo
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